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Note that $5^{x+2} = 5^x \times 5^2$

We know that $5^x = 100$, so $5^{x+2} = 100 \times 5^2 = \text{____}$

$If\ 5^x=100,wath\ is\ the\ value\ of\ 5^{x+2}\ ?$

Hello Guest!

$5^x=100\\ x\cdot lg\ 5=2$

$x=\frac{2}{lg\ 5}\\ 5^{\frac{2}{lg\ 5}+2}=\color{blue}2500$

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